Work

Block shuffle identities for multiple zeta values

Year: 2022

Type: preprint

Abstract: In 1998, Borwein, Bradley, Broadhurst and Lisoněk posed two families of conjectural identities among multiple zeta values, later generalized by Charlton using his alternating block notation. In this paper, we prove a new class of identities among multiple zeta values that simultaneously resolve and generalize these conjectures.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2206.03458

Authors: Hirose, Minoru, Sato, Nobuo

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Awards: Research on the iterated integrals on the projective line, 新谷ゼータ関数・反復積分・GT理論の３つを軸とした周期の総合的研究, A study on periods through enhanced zeta values and iterated integrals, 混合モチーフの周期の研究, 混合モチーフの周期の研究

OpenAlex ID: W4281981637

Cites:

Cited by: 1

Related to: 10